In a survey on favorite parts of college, students were asked to choose their favorite professor (from a list of four popular professors), favorite meal in the dining hall (from a list of five popular meals), and favorite weekend activity (from a list of six popular activities). Calculate the number of different ways the survey can be filled out if students select one from each category.

Length of fence = Circumference of the pool – width of the gate. Length of fence = 6.28x – 150 cm.

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Answer:

2√10i

Step-by-step explanation:

√-40 = √40 × √-1

= √(4 × 10) × √-1

= √4 × √10 ×√-1

√-1 = i

√40 = 2√10i

280 AND 245 RS  the company GAIN,20% OFF it is 280 rs and 30% off it is 245 rs

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Answer:

56          42               98

3             7                 10

59           49              108

Step-by-step explanation:

108 people responded to the survey

9514 1404 393

Answer:

  dependent

Step-by-step explanation:

The percentage of males depends on whether they attend the concert. The events are dependent.

If the events were independent, the percentage would remain the same regardless of concert attendance.

Answer:

200

Step-by-step explanation:

cause 10 x 20=200

Answer:

100

Step-by-step explanation:

The first part is useless, so let it go

The second is exactly what we need

1 : 20

10 : 200

Those are the ratios and the other answer explains it easily

Answer:

Sam's team scored 20 points. Ben's team scored 60 points

Step-by-step explanation:

b = 3s

s + b = 80

Substitute

s + 3s = 80

4s = 80

s = 20

Work Shown:

75+54m

75+54*10

75+540

615

Answer:

[tex]12 \frac{1}{2} \div \frac{1}{4} = x \\ 12.5 \div 0.25 = x \\ x = 50[/tex]

Max made 50 sandwiches

To find the greatest common factor (GCF) between monomials, take each monomial and write it's prime factorization. Then, identify the factors common to each monomial and multiply those common factors together.

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As a result, the answer to the given function question is that the domain and range are both(-∝, ∝) and that the domain is (-∝, ∝).and that the range is(-∝, ∝).

Any input will only result in one or zero outcomes for the function. The expression does not define the function if there are several outputs for a given input. Each value of x must have only one output value of y variable in order for anything to be a function.

Here,

The formula is presented as

k(x) = x² + 9

The aforementioned equation is linear.

 the range is (-∝, ∝) and the domain is(-∝, ∝) 

Formula 2

The formula is presented as

y = (x + 5)² +3

The aforementioned equation is linear.

The range is (-∝, ∝), and the domain is (-∝, ∝).

As a result, the answer to the given function question is that the domain and range are both(-∝, ∝) and that the domain is (-∝, ∝).and that the range is(-∝, ∝).

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Answer:

y-int. is (0,3)

Step-by-step explanation:

Answer:

(0,3)

Step-by-step explanation:

The other number is 4/5

Step-by-step explanation:

let the number be x

if one of the numbers is -14/5

The sum of two rational numbers is -2.

Here, we get the equation

x + (-14/5) = -2

x - 14/5 = -2

x = 14/5 - 2

x = 14 - 2 × 5 ÷ 5

x = 14 - 10 ÷ 5

x = 4/5

Thus, The other number is 4/5

x + (-14/5) = -2

4/5 + (-14/5) = -2

4/5 - 14/5 = -2

4 - 14/5 = -2

-10/5 = -2

-2 = -2

Hence, L.H.S = R.H.S

-TheUnknownScientist

Answer:

Step-by-step explanation:

Since,

Any number if divided by hundred then that no. is known as a percentage.

Here,

80 is divided by 100 i. e.

80 / 100

= 80% (Ans)

Answer:

Step-by-step explanation:

Write the problem as a mathematical expression.

Convert to decimal.

Multiply 0.8 by 100 to convert to a percentage.

Answer: Reflection of the x axis.

Step-by-step explanation: This didn't rotate because the coordinates were reflected this isn't a translation because you didn't translate anything. Reflection, the coordinates are just still the same distance from the other coordinates.

For the given value of domain and range , By observing the figure, The correct answer are options B,C and E.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

A function's domain and range are the set of all possible inputs and outputs, respectively. A function's domain and range are crucial components. The range includes all of the function's output values, whereas the domain includes all potential input values from the set of real numbers.

domain : (x | x [tex]\geq[/tex] 3/2)

range : (-∞ , 2)

For these values, Option B , C and E holds that they exists when x [tex]\geq[/tex] 3/2 and it's output that is y exists between  (-∞ , 2).

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Answer:

D. 10r7

Explaination:

9 goes into 97 10 times, and has a remainder of 7

The equations that are true for x = –2 and x = 2 are:

x^2-4=0 and 4x^2 = 16

We can determine the equations that are true for x = –2 and x = 2 by testing the given options:

After testing the options option  1 ; x^2-4=0 putting x = 2 or -2 into the equation will give zero.  

(2^)2-4=0

(-2)^2-4=0

Then option 4: 4x^2 = 16

4(2)^2 = 16

4(-2)^2 = 16

Therefore, option 1st and 4th are correct.

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Answer:

y = 3x² + 5x + 1

x = -b±√b²-4ac/2a

a = 3, b = 5 c = 1

x = -5±√5²-4(3)(1)/2(3)

x = -5±√25-12/6

x = -5±√13/6

The number that belongs in the green box is -5.

Given:

Quadratic equation y = 3x² + 5x + 1 into the quadratic formula,

which is [tex]\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \][/tex], determine the values of a, b, and c from the given equation.

Comparing the equation y = 3x² + 5x + 1 with the standard quadratic form y = ax² + bx + c

a = 3

b = 5

c = 1

Now, substitute these values into the quadratic formula:

x = (-(5) ± √((5)² - 4(3)(1))) / (2(3))

x = (-5 ± √(25 - 12)) / (6)

x = (-5 ± √(13)) / 6

Therefore, the quadratic equation y = 3x² + 5x + 1 can be expressed in the quadratic formula as: x = (-5 ± √(13)) / 6

Thus, the number is -5.

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Answer:

4,670.61 Dollars

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 2.5/100

r = 0.025 rate per year,

Then solve the equation for A

A = Pert

A = 2,500.00(2.71828)(0.025)(25)

A = $4,670.61

The solution is Option A.

The shortest distance is given by the two hypotenuses of the triangles and the distance is X = 7.8 cm

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the shortest distance be represented as X

Let the first triangle be the first face of the rectangular box ΔABC

The length of the triangle AB = 3 cm

The height of the triangle BC = 2 cm

Now ,

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

The measure of AC = √ ( 3² + 2² )

The measure of AC = √13 cm

And , the second triangle is the second face of the rectangular box ΔDEF

The length of the triangle DE = 4 cm

The height of the triangle EF = 2 cm

The measure of DF = √ ( 4² + 2² )

The measure of DF = √18 cm

Now , the shortest distance X = The measure of AC  + measure of DF

Substituting the values in the equation , we get

The shortest distance X = √13 cm + √18 cm

The shortest distance X = 3.60 + 4.24

The shortest distance X = 7.8 cm

Therefore , the value of A is 7.8 cm

Hence , the shortest distance for the ant is 7.8 cm

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Answer:

(8, -2)

Step-by-step explanation:

Given:

[tex]\textsf{If P = (8, 2), Find $\sf R_{x-axis}(P)$}[/tex]

[tex]\sf R_{x-axis}(P)[/tex] means to reflect the given point P in the x-axis.

When a point is reflected in the x-axis, the x-value is unchanged, but the y-value becomes negative:

Therefore:

[tex]\sf R_{x-axis}(P)=(8,-2)[/tex]

Answer:

Step-by-step explanation:

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Answer: Hi Your question lacks some information but i will give you a general solution with similar data found online

answer

a) 15.15%

b) The effect on The probability of smoking is that the p( smoking ) will reduce from 15.15% to 11.70%

Step-by-step explanation:

Using The probit regression

from the attached question ;

for smoking

1 = smokes , 0 = do not smoke

For Independent variable

1 = ban at workplace ,  0 = not ban at workplace.

sex :  male = 0 , female = 1

a) Assuming Mr. A is not subject to a workplace smoking ban

P ( Mr. A  smokes ) = 15.15%

b) Assuming Mr. A is subject to a workplace smoking ban

determine effect  on P ( Mr. A smokes )

The effect on The probability of smoking is that the p( smoking ) will reduce from 15.15% to 11.70%

Answer:

11/10 as a mixed number is 1 and 1/10

Step-by-step explanation:

10 out of 10 is 1 but there is still another tenth that needs to be added so it is 1 and one tenth.

Answer:

For a data set of N elements:

{x₁, x₂, ..., xₙ}

The mean is:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

The mean absolute deviation is:

[tex]MAD = \frac{|x_1 - M| + ... + |x_n - M|}{N}[/tex]

And the population standard deviation is:

[tex]PSD = \frac{\sqrt{|x_1 - M|^2 + ... + |x_n - M|^2} }{\sqrt{N}}[/tex]

In this case, our set has 5 elements, and the set is:

{2, 4, 6, 9, 14}

The mean of this set is:

[tex]M = \frac{2 + 4 + 6 + 9 + 14}{5} = 7[/tex]

The mean absolute deviation is:

[tex]MAD = \frac{|2 - 7| + |4 - 7| + |6 - 7|+ |9 - 7| + |14 - 7| }{5} = 3.6[/tex]

And the population standard deviation is:

[tex]PSD = \sqrt{\frac{|2 - 7|^2 + |4 - 7|^2 + |6 - 7|^2+ |9 - 7|^2 + |14 - 7|^2 }{5}} = 4.2[/tex]

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Answer:

  A. no solution

Step-by-step explanation:

The solution is found where the lines meet. Parallel lines never meet, so there is no solution.

Answer:

To calculate the percent of change, you will need to find the difference between the original score and the revised score and divide that by the original score. Then, multiply the result by 100 to express the answer as a percentage.

In this case, the difference between the original score (5 questions right) and the revised score (15 questions right) is 10 questions. Dividing this by the original score of 5 questions gives you a result of 2. Multiplying this by 100 gives you a percent of change of 200%. This means that your revised score is 200% higher than your original score.

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

This question requires options.

Since none is provided, I will give a general solution.

We have: 0.034 and 3.40

Required

The relationship between them

3.40 can be expressed as:

[tex]3.40 \to 0.034 * 100[/tex]

This means that 3.40 is 100 of 0.034

Similarly, 0.034 can be expressed as:

[tex]0.034 \to 3.40 * \frac{1}{100}[/tex]

This means that 0.034 is 1/100 of 3.40